ab is an improper fraction, where a=q×b+r, then ab can also be written as
qrb
qbr
rqb
bqr
Here, ab is a an improper fraction.
Given that
a=q×b+r
Where q is the quotient when 'a' is divided by 'b' and 'r' is the remainder.
Then, ab=qrb
If ab is an improper fraction, where a and b are natural numbers, then
Euclid's division lemma states that for any positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy
(a) 1 < r < b (b) 0<r≤b (c) 0≤r<b (d) 0 < r < b
p→∼q can also be written as
Every pair of positive integers a and b there exist a unique pair of whole numbers q and r such that a=bq+r give examples of a and b wherever possible satisfying.
a r=0
b q=0
c r>b
d If a<b what can be said about q and r.